This paper presents new upper bounds for irrationality measures of some fast converging series of rational numbers. The results depend only on the speed of convergence of the series and do not depend on the arithmetical properties of the terms
AbstractAs part of a project on automatic generation of proofs involving both logic and computation,...
AbstractLet β be an irrational number. For t ≥ 1, put ψβ(t)= minp,qint 0<q⩽t | qβ − p |, μ∗(β)= supt...
AbstractUsing Padé approximants to the asymptotic expansion of the error term for the series ∑k=1∞ 1...
AbstractLet τ=[a0;a1,a2,…], a0∈N, an∈Z+, n∈Z+, be a simple continued fraction determined by an infin...
The main result of this paper is a criterion for irrational sequences which consist of rational numb...
AbstractLet ξ be a real irrational number, and φ be a function (satisfying some assumptions). In thi...
Generalizing a geometric idea due to J. Sondow, we give a geometric proof for the Cantor’s Theorem....
This is a preprint of an article published in Manuscripta Mathmatica (2005), Volume 117, Number 2, 1...
AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numb...
The first estimate of the upper bound $\mu(\pi)\leq42$ of the irrationality measure of the number $\...
International audienceThis paper is devoted to the rational approximation of automatic real numbers,...
Abstract. We say that the series of general term un = 0 is fast converging if log |un | ≤ c2n for ...
summary:This survey paper presents some old and new results in Diophantine approximations. Some of t...
Given quantities $\Delta_1,\Delta_2,\dots\geqslant 0$, a fundamental problem in Diophantine approxim...
In 1978, Apéry [2] proved the irrationality of ζ(3) by constructing two explicit sequences of integ...
AbstractAs part of a project on automatic generation of proofs involving both logic and computation,...
AbstractLet β be an irrational number. For t ≥ 1, put ψβ(t)= minp,qint 0<q⩽t | qβ − p |, μ∗(β)= supt...
AbstractUsing Padé approximants to the asymptotic expansion of the error term for the series ∑k=1∞ 1...
AbstractLet τ=[a0;a1,a2,…], a0∈N, an∈Z+, n∈Z+, be a simple continued fraction determined by an infin...
The main result of this paper is a criterion for irrational sequences which consist of rational numb...
AbstractLet ξ be a real irrational number, and φ be a function (satisfying some assumptions). In thi...
Generalizing a geometric idea due to J. Sondow, we give a geometric proof for the Cantor’s Theorem....
This is a preprint of an article published in Manuscripta Mathmatica (2005), Volume 117, Number 2, 1...
AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numb...
The first estimate of the upper bound $\mu(\pi)\leq42$ of the irrationality measure of the number $\...
International audienceThis paper is devoted to the rational approximation of automatic real numbers,...
Abstract. We say that the series of general term un = 0 is fast converging if log |un | ≤ c2n for ...
summary:This survey paper presents some old and new results in Diophantine approximations. Some of t...
Given quantities $\Delta_1,\Delta_2,\dots\geqslant 0$, a fundamental problem in Diophantine approxim...
In 1978, Apéry [2] proved the irrationality of ζ(3) by constructing two explicit sequences of integ...
AbstractAs part of a project on automatic generation of proofs involving both logic and computation,...
AbstractLet β be an irrational number. For t ≥ 1, put ψβ(t)= minp,qint 0<q⩽t | qβ − p |, μ∗(β)= supt...
AbstractUsing Padé approximants to the asymptotic expansion of the error term for the series ∑k=1∞ 1...
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